Q. 63.7( 3 Votes )

In a triangle, one angle is of 90°. Then

(i) The other two angles are of 45° each

(ii) In remaining two angles, one angle is 90° and other is 45°

(iii) Remaining two angles are complementary

In the given option(s) which is true?
A. (i) only

B. (ii) only

C. (iii) only

D. (i) and (ii)

Answer :

Given: In triangle one angle is 90°


Formula Used/Theory:-


Sum of angles of triangle is 180°


Moving to 1st option


The other two angles are of 45° each


This can be happen only if triangle is isosceles right angle Δ


this can be but not necessary every time


Moving to 2nd option


In remaining two angles, one angle is 90° and other is 45°


This cannot be possible because angle sum of triangle is beyond 180° which is not possible


Moving to 3rd option


Remaining two angles are complementary


As one angle is 90° and sum of angles of triangle is 180°


the sum of both angle is always 90°


only 3rd statement is correct.

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